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Finding the Fourth Proportional to 708.91, 976.93 and 590.65

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Solution

The fourth proportional to 708.91, 976.93 and 590.65 is: 813.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.91 : 976.93 = 590.65 : x
  2. Step 2: Convert to fraction form
    708.91/976.93 = 590.65/x
  3. Step 3: Cross multiply
    708.91x = 976.93 × 590.65
  4. Step 4: Simplify right side
    708.91x = 577,023.70
  5. Step 5: Solve for x
    x = 577,023.70/708.91
  6. Step 6: Final answer
    x = 813.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.